Question

What is the solution to the equation 4 + 6x = 2(3x - 10)?

A) x = 0
B) x = 4
C) x = -4
D) There is no solution

Answer 1

The equation 4 + 6x = 2(3x - 10) leads to a contradiction when simplified, indicating that there is no value of x that will satisfy the equation. The correct answer is D) There is no solution.

Step-by-step explanation:

The solution to the equation 4 + 6x = 2(3x - 10) can be found by expanding the right side of the equation and then isolating x. By distributing the 2 into the parentheses, the equation becomes:

• 4 + 6x = 6x - 20

Next, we can simplify and solve for x:

1. Subtract 6x from both sides: 4 = -20
2. Now we see that we have a contradiction since 4 does not equal -20.

Since this result is a contradiction, there is no value of x that will satisfy the equation, and thus no solution. Therefore, the correct answer is D) There is no solution.